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40910976 = 2732172089
BaseRepresentation
bin1001110000010…
…0000010000000
32211222111022100
42130010002000
540433122401
64020510400
71004510661
oct234040200
984874270
1040910976
1121103027
121184b400
1386253a2
14560d368
1538d1b86
hex2704080

40910976 has 96 divisors (see below), whose sum is σ = 124710300. Its totient is φ = 12828672.

The previous prime is 40910963. The next prime is 40910977. The reversal of 40910976 is 67901904.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 5198400 = 5976^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40910976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40910977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18540 + ... + 20628.

Almost surely, 240910976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40910976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62355150).

40910976 is an abundant number, since it is smaller than the sum of its proper divisors (83799324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40910976 is a wasteful number, since it uses less digits than its factorization.

40910976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 40910976 is about 6396.1688533059. The cubic root of 40910976 is about 344.5719707542.

The spelling of 40910976 in words is "forty million, nine hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2089 2176 2448 3264 4178 4896 6267 6528 8356 9792 12534 16712 18801 19584 25068 33424 35513 37602 50136 66848 71026 75204 100272 106539 133696 142052 150408 200544 213078 267392 284104 300816 319617 401088 426156 568208 601632 639234 802176 852312 1136416 1203264 1278468 1704624 2272832 2406528 2556936 3409248 4545664 5113872 6818496 10227744 13636992 20455488 40910976